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Finding the Fourth Proportional to 463.83, 640.17 and 267.46

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Solution

The fourth proportional to 463.83, 640.17 and 267.46 is: 369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.83 : 640.17 = 267.46 : x
  2. Step 2: Convert to fraction form
    463.83/640.17 = 267.46/x
  3. Step 3: Cross multiply
    463.83x = 640.17 × 267.46
  4. Step 4: Simplify right side
    463.83x = 171,219.87
  5. Step 5: Solve for x
    x = 171,219.87/463.83
  6. Step 6: Final answer
    x = 369.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.